# How do you solve the following system?: #y=2x-3 , 2y=4x+3 #

##### 1 Answer

Apr 1, 2018

#### Explanation:

#"consider the 2 equations expressed in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#y=2x-3to(1)#

#y=2x+3/2to(2)#

#"both lines have "m=2#

#• " Parallel lines have equal slopes"#

#"the 2 lines are therefore parallel and never intersect"#

#rArr" there is no solution"#

graph{(y-2x+3)(y-2x-3/2)=0 [-10, 10, -5, 5]}